Definitions Of Logic
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Definitions Of Logic
The history of logic as a subject has been characterised by many disputes over what the topic deals with, and the main article 'Logic' has as a result been hesitant to commit to a particular definition of logic. This article surveys various definitions of the subject that have appeared over the centuries through to modern times, and puts them in context as reflecting rival conceptions of the subject. Rival conceptions of logic In the period of scholastic philosophy, logic was predominantly Aristotelian. Following the decline of scholasticism, logic was thought of as an affair of ideas by early modern philosophers such as Locke (1632-1704) and Hume (1711-1716). Immanuel Kant took this one step further. He begins with the assumption of the empiricist philosophers, that all knowledge whatsoever is internal to the mind, and that we have no genuine knowledge of 'things in themselves'. Furthermore, (an idea he seemed to have got from Hume) the material of knowledge is a succession of ...
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Logic
Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the science of deductively valid inferences or of logical truths. It is a formal science investigating how conclusions follow from premises in a topic-neutral way. When used as a countable noun, the term "a logic" refers to a logical formal system that articulates a proof system. Formal logic contrasts with informal logic, which is associated with informal fallacies, critical thinking, and argumentation theory. While there is no general agreement on how formal and informal logic are to be distinguished, one prominent approach associates their difference with whether the studied arguments are expressed in formal or informal languages. Logic plays a central role in multiple fields, such as philosophy, mathematics, computer science, and linguistics. Logic studies arguments, which consist of a set of premises together with a conclusion. Premises and conclusions are usua ...
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Formal Ontology
In philosophy, the term formal ontology is used to refer to an ontology defined by axioms in a formal language with the goal to provide an unbiased (domain- and application-independent) view on reality, which can help the modeler of domain- or application-specific ontologies (information science) to avoid possibly erroneous ontological assumptions encountered in modeling large-scale ontologies. By maintaining an independent view on reality a formal ( upper level) ontology gains the following properties: *indefinite expandability: *:the ontology remains consistent with increasing content. *content and context independence: *:any kind of 'concept' can find its place. *accommodate different levels of granularity. Historical background Theories on how to conceptualize reality date back as far as Plato and Aristotle. The term 'formal ontology' itself was coined by Edmund Husserl in the second edition of his '' Logical Investigations'' (1900–01), where it refers to an ontological ...
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Norman Kretzmann
Norman J. Kretzmann (4 November 1928 – 1 August 1998) was a professor of Philosophy at Cornell University who specialised in the history of medieval philosophy and the philosophy of religion. Kretzmann joined Cornell's Department of Philosophy in 1966. His work as a teacher and scholar was recognized in 1970, when he was appointed Chairman of the Department of Philosophy, and in 1977 when he was elected a Susan Linn Sage Professor of Philosophy by the University Board of Trustees. In 1992, he received a Graduate Teaching Award from the Northeastern Association of Graduate Deans for his excellence and creativity in the teaching of graduate students. He became a Susan Linn Sage Professor Emeritus in 1995. He published numerous books, articles, essays, and editions of medieval texts. He served as the principal editor of ''The Cambridge History of Later Medieval Philosophy'' (1982), and as an editor of the ''Routledge Encyclopedia of Philosophy''.Cornell UniversitMemorial statement ...
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Stanford Encyclopedia Of Philosophy
The ''Stanford Encyclopedia of Philosophy'' (''SEP'') combines an online encyclopedia of philosophy with peer-reviewed publication of original papers in philosophy, freely accessible to Internet users. It is maintained by Stanford University. Each entry is written and maintained by an expert in the field, including professors from many academic institutions worldwide. Authors contributing to the encyclopedia give Stanford University the permission to publish the articles, but retain the copyright to those articles. Approach and history As of August 5th, 2022, the ''SEP'' has 1,774 published entries. Apart from its online status, the encyclopedia uses the traditional academic approach of most encyclopedias and academic journals to achieve quality by means of specialist authors selected by an editor or an editorial committee that is competent (although not necessarily considered specialists) in the field covered by the encyclopedia and peer review. The encyclopedia was created ...
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Universal Logic
Originally the expression ''Universal logic'' was coined by analogy with the expression ''Universal algebra''. The first idea was to develop Universal logic as a field of logic that studies the features common to all logical systems, aiming to be to logic what Universal algebra is to algebra. A number of approaches to universal logic in this sense have been proposed since the twentieth century, using model theoretic, and categorical approaches. But then the Univeral Logic Project developed as a general universal logic project including this mathematical project but also many other logical activities (Congresses, Journals, Books Series, Encyclopedia, Logic Prizes, Webinar, YouTube Channel). Development of Universal Logic as a General Theory of Logical Systems The roots of universal logic as general theory of logical systems, may go as far back as some work of Alfred Tarski in the early twentieth century, but the modern notion was first presented in the 1990s by Swiss logician ...
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James McCosh
James McCosh (April 1, 1811 – November 16, 1894) was a philosopher of the Scottish School of Common Sense. He was president of Princeton University 1868–88. Biography McCosh was born into a Covenanting family in Ayrshire, and studied at the Universities of Glasgow and Edinburgh, obtaining his M.A. at the latter, at the suggestion of Sir William Hamilton, for an essay on stoicism. He became a minister of the Church of Scotland in 1834, serving as minister first at Abbey Church in Arbroath and then at Brechin. He sided with the Free Church of Scotland in the Disruption of 1843, becoming minister at Brechin's new East Free Church. In 1850 or 1851 he was appointed Professor of Logic and Metaphysics at Queen's College, Belfast (now Queen's University Belfast).Hoeveler, ''James McCosh and the Scottish Intellectual Tradition: From Glasgow to Princeton'', Princeton University Press (1981) In 1868 he travelled to the United States to become president of the Col ...
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John Stuart Mill
John Stuart Mill (20 May 1806 – 7 May 1873) was an English philosopher, political economist, Member of Parliament (MP) and civil servant. One of the most influential thinkers in the history of classical liberalism, he contributed widely to social theory, political theory, and political economy. Dubbed "the most influential English-speaking philosopher of the nineteenth century", he conceived of liberty as justifying the freedom of the individual in opposition to unlimited state and social control. Mill was a proponent of utilitarianism, an ethical theory developed by his predecessor Jeremy Bentham. He contributed to the investigation of scientific methodology, though his knowledge of the topic was based on the writings of others, notably William Whewell, John Herschel, and Auguste Comte, and research carried out for Mill by Alexander Bain. He engaged in written debate with Whewell. A member of the Liberal Party and author of the early feminist work '' The Subjection ...
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Richard Whately
Richard Whately (1 February 1787 – 8 October 1863) was an English academic, rhetorician, logician, philosopher, economist, and theologian who also served as a reforming Church of Ireland Archbishop of Dublin. He was a leading Broad Churchman, a prolific and combative author over a wide range of topics, a flamboyant character, and one of the first reviewers to recognise the talents of Jane Austen. Life and times He was born in London, the son of the Rev. Dr. Joseph Whately (1730–1797). He was educated at a private school near Bristol, and at Oriel College, Oxford, from 1805. He obtained a B.A. in 1808, with double second-class honours, and the prize for the English essay in 1810; in 1811 he was elected Fellow of Oriel, and in 1814 took holy orders. After graduation he acted as a private tutor, in particular to Nassau William Senior who became a close friend, and to Samuel Hinds. Early married life After his marriage to writer Elizabeth Whately ( Pope) in 1821, Whatel ...
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Isaac Watts
Isaac Watts (17 July 1674 – 25 November 1748) was an English Congregational minister, hymn writer, theologian, and logician. He was a prolific and popular hymn writer and is credited with some 750 hymns. His works include "When I Survey the Wondrous Cross", "Joy to the World", and " Our God, Our Help in Ages Past". He is recognized as the "Godfather of English Hymnody"; many of his hymns remain in use today and have been translated into numerous languages. Life Watts was born in Southampton, Hampshire, England, in 1674 and was brought up in the home of a committed religious nonconformist; his father, also Isaac Watts, had been incarcerated twice for his views. Watts had a classical education at King Edward VI School, Southampton, learning Latin, Greek, and Hebrew. Watts displayed a propensity for rhyme from an early age. He was once asked why he had his eyes open during prayers, to which he responded: He received corporal punishment for this, to which he cried: Watts ...
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Antoine Arnauld
Antoine Arnauld (6 February 16128 August 1694) was a French Catholic theologian, philosopher and mathematician. He was one of the leading intellectuals of the Jansenist group of Port-Royal and had a very thorough knowledge of patristics. Contemporaries called him ''le Grand'' to distinguish him from his father. Biography Antoine Arnauld was born in Paris to the Arnauld family. The twentieth and youngest child of the original Antoine Arnauld, he was originally intended for the bar, but decided instead to study theology at the Sorbonne. Here he was brilliantly successful, and his career was flourishing when he came under the influence of Jean du Vergier de Hauranne, the spiritual director and leader of the convent of Port-Royal, and was drawn in the direction of Jansenism. His book, ''De la fréquente Communion'' (1643), was an important step in making the aims and ideals of this movement intelligible to the general public. It attracted controversy by being against frequen ...
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John Poinsot
John of St. Thomas, O.P., born João Poinsot (also called John Poinsot in English; 9 July 1589 – 15 June 1644), was a Portuguese Dominican friar, Thomist theologian, and professor of philosophy. He is known for being an early theorist in the field of semiotics. Biography Of noble parentage, he was sent early to the University of Coimbra, displayed talents of the first order, completed his humanities and philosophy, and obtained the degree of Master of Arts. He then entered the University of Louvain. Here, too, he showed remarkable ability, and won the title of Bachelor of Theology at an early age. He joined the Dominicans at Madrid in 1612 or 1613, taking the name of John of St. Thomas, by which he is known to history. As professor of philosophy and theology at the University of Alcalá, he soon took rank among the most learned men of the time, and was placed successively (1630 and 1640) in charge of the two principal chairs of theology in the university of that city. His ren ...
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Robert Kilwardby
Robert Kilwardby ( c. 1215 – 11 September 1279) was an Archbishop of Canterbury in England and a cardinal. Kilwardby was the first member of a mendicant order to attain a high ecclesiastical office in the English Church. Life Kilwardby studied at the University of Paris, then was a teacher of grammar and logic there. He then joined the Dominican Order and studied theology,Lawrence "Thirteenth Century" ''English Church and the Papacy'' p. 146 and became regent at Oxford University before 1261,Knowles ''Evolution of Medieval Thought'' p. 288 probably by 1245.Leff ''Paris and Oxford Universities'' pp. 290–293 He was named provincial prior of the Dominicans for England in 1261,Greenway Fasti Ecclesiae Anglicanae 1066-1300: Volume 2: Monastic Cathedrals (Northern and Southern Provinces): Canterbury: Archbishops' and in October 1272 Pope Gregory X appointed him as Archbishop of Canterbury to end a dispute over the election. Kilwardby was provided to the archbishopric on 11 O ...
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